Zhang R, Liu X, Wei C. Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden.
JOURNAL OF BIOLOGICAL DYNAMICS 2022;
16:565-584. [PMID:
35849728 DOI:
10.1080/17513758.2022.2099590]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2021] [Accepted: 03/17/2022] [Indexed: 06/15/2023]
Abstract
In this paper, we propose a stochastic delay mutualistic model of leaf-cutter ants with stage structure and their fungus garden, in which we explore how the discrete delay and white noise affect the dynamic of the population system. The existence and uniqueness of global positive solution are proved, and the asymptotic behaviours of the stochastic model around the positive equilibrium point of the deterministic model are also investigated. Furthermore, the sufficient conditions for the persistence of the population are established. Finally, some numerical simulations are performed to show the effect of random environmental fluctuation on the model.
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